# Conservative field

From Glossary of Meteorology

## conservative field

A field for which the work done in moving an isolated particle of unit mass around a closed path is zero: where

**F**is the force acting on the particle and*d***r**is an infinitesimal vector displacement along the path.For such a field the work done in moving a particle between any two points is independent of the path so that a potential Φ exists: where

**∇**is the del operator.*See*irrotational.